(20pts) You are building a Decision Support System to help prospective students choose a college. Through interaction with many such students over the years you have determined that the criteria that most of the students use to rate the institutions fall into two categories: Educational Quality and Life Style. In the area of Educational Quality, students are typically interested in average class size, ranking of the institution by a national magazine, and student to teacher ratio. In the area of Life Style, students rate the university on the basis of yearly cost, average number of rock concerts held per year, and the standing of the football team in the previous year. You have constructed a hierarchy that can be used to assess a student's preference in this decision problem. Assume linear single dimensional value functions for all attributes. Overall Score .70 .30 Ed. Quality Life Style Class Size Ranking Stud Teach Yearly Cost Concerts Football You have already determined the weights for the first layer of the hierarchy (Ed. Quality has weight 0.70, and Life Style has weight 0.30). They are shown on the diagram. The following table provides data on several alternative universities. 6 University Class Size* Ranking* Stud/Teach* Cost($K) Concerts Football* 1 15 2 30 5 6 2 25 10 10 17 10 3 3 55 7 20 11 20 1 *lower is better. a. It was decided that the SMARTER method should be used to determine weights on the Educational Quality branch of the value hierarchy. It was determined that Ranking was most important and that class size and student-teacher ratio were equally important. Compute the weights for these attributes. b. The weights on the Lift Style branch of the value hierarchy are to be determined by trade-off. The following information was elicited regarding indifference between alternatives. A B Cost($K): 15 30 Concerts: 5 15 A B 13 Cost($K): Football: Compute the weights for these attributes. 21 2 5 c. Compute the effective or bottom row weights. Describe the discussion that you would have with the decision maker regarding these weights. d. Compute the resulting scores for each alternative university assuming linear single dimensional value functions. What would your recommendation be? e. Consider the inclusion of cost in the value hierarchy above. Is it appropriate to include it in the value function? Explain your rationale. (20pts) You are building a Decision Support System to help prospective students choose a college. Through interaction with many such students over the years you have determined that the criteria that most of the students use to rate the institutions fall into two categories: Educational Quality and Life Style. In the area of Educational Quality, students are typically interested in average class size, ranking of the institution by a national magazine, and student to teacher ratio. In the area of Life Style, students rate the university on the basis of yearly cost, average number of rock concerts held per year, and the standing of the football team in the previous year. You have constructed a hierarchy that can be used to assess a student's preference in this decision problem. Assume linear single dimensional value functions for all attributes. Overall Score .70 .30 Ed. Quality Life Style Class Size Ranking Stud Teach Yearly Cost Concerts Football You have already determined the weights for the first layer of the hierarchy (Ed. Quality has weight 0.70, and Life Style has weight 0.30). They are shown on the diagram. The following table provides data on several alternative universities. 6 University Class Size* Ranking* Stud/Teach* Cost($K) Concerts Football* 1 15 2 30 5 6 2 25 10 10 17 10 3 3 55 7 20 11 20 1 *lower is better. a. It was decided that the SMARTER method should be used to determine weights on the Educational Quality branch of the value hierarchy. It was determined that Ranking was most important and that class size and student-teacher ratio were equally important. Compute the weights for these attributes. b. The weights on the Lift Style branch of the value hierarchy are to be determined by trade-off. The following information was elicited regarding indifference between alternatives. A B Cost($K): 15 30 Concerts: 5 15 A B 13 Cost($K): Football: Compute the weights for these attributes. 21 2 5 c. Compute the effective or bottom row weights. Describe the discussion that you would have with the decision maker regarding these weights. d. Compute the resulting scores for each alternative university assuming linear single dimensional value functions. What would your recommendation be? e. Consider the inclusion of cost in the value hierarchy above. Is it appropriate to include it in the value function? Explain your rationale